INTRINSIC IDEALS OF DISTRIBUTIVE LATTICES

Document Type : Original Manuscript

Author

Department of Mathematics, MVGR College of Engineering, P.O. Box 535004, Vizianagaram, Andhra Pradesh, India.

Abstract

The concepts of intrinsic ideals and inlets are introduced in a distributive lattice. Intrinsic ideals are also characterized with the help of inlets. Certain equivalent conditions are given for an ideal of a distributive lattice to become intrinsic. Some equivalent conditions are derived for the quotient lattice, with respect to a congruence, to become a Boolean algebra. Some topological properties of the prime spectrum of intrinsic ideals of distributive lattice are derived.

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References

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Journal of Algebraic Systems
Volume 11, Issue 1
September 2023
Pages 45-64

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